If satisfies the initial value problem with , what is the value of ?

Answer and explanation

Correct answer: C.

  1. Step 1: Find the integrating factor: .
  2. Step 2: Multiply and integrate: . Using integration by parts: . Divide by : .
  3. Step 3: Apply : . Thus . At : .
Answer
.
Why not the others: calculates incorrectly; uses ; calculates .

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